3300705408 has 512 divisors, whose sum is σ = 12195348480. Its totient is φ = 763084800.

The previous prime is 3300705407. The next prime is 3300705481. The reversal of 3300705408 is 8045070033.

It is not an unprimeable number, because it can be changed into a prime (3300705407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11915766 + ... + 11916042.

It is an arithmetic number, because the mean of its divisors is an integer number (23819040).

Almost surely, 2^3300705408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097674240).

3300705408 is an abundant number, since it is smaller than the sum of its proper divisors (8894643072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3300705408 is a wasteful number, since it uses less digits than its factorization.

3300705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3300705408 is about 57451.7659258617. The cubic root of 3300705408 is about 1488.9116277543.

The spelling of 3300705408 in words is "three billion, three hundred million, seven hundred five thousand, four hundred eight".